After a couple of hours of "Goggling" (T'tinterweb is a marvellous thing) I do believe that this is the cap badge in question.
The 31st Infantry Battalion (Calgary, Alberta) C.E.F. Raised 7th Nov 1914, sailed for the UK aboard the RMS "Carpathia" 17th May 1915 more than likely arriving at Liverpool (hence the finding in Lathom). Trained in UK then set off to France disembarking on the 18th Sept 1915.
"Bell's Bulldogs" served in many of the major battles in France & Belgium as part of the 6th Inf Bde, 2nd Canadian Div earning some impressive battle honours, the unit returned to Canada May/June 1919 & were disbanded 15th Sept 1920.
Keep on detector sticking Accyx, as history is all around us just waiting to be "unearthed".
